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Finding the Fourth Proportional to 2,075.70, 3,114.48 and 777.26

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Solution

The fourth proportional to 2,075.70, 3,114.48 and 777.26 is: 1,166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,075.70 : 3,114.48 = 777.26 : x
  2. Step 2: Convert to fraction form
    2,075.70/3,114.48 = 777.26/x
  3. Step 3: Cross multiply
    2,075.70x = 3,114.48 × 777.26
  4. Step 4: Simplify right side
    2,075.70x = 2,420,760.72
  5. Step 5: Solve for x
    x = 2,420,760.72/2,075.70
  6. Step 6: Final answer
    x = 1,166.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.